In this work, we used the \(^3P_0\)  model to calculate the Okubo-
Zweig-Iizuka (OZI) allowed strong decay widths for the charmonium states above \(D\bar{D}\)  threshold.
The \(^3P_0\)  model is a model that describes the quark pair creation mechanism of the OZI allowed strong decays based on the quark model.
It is firstly proposed by Micu [1]} and then extended by Le Yaouanc et al [2]}, [3]}.
This model has been widely applied to deal with the open-charm strong decays of the charmonium states [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}.
In the \(^3P_0\)  model, one assumes that a quark-antiquark pair is produced from the vacuum with the quantum
number \(0^{++}\)  and the heavy meson decay takes place via the rearrangement of the four quarks. Such a process is empirically illustrated
in Fig. REF .
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